document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=578924>Question 578924</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can the perimeter of an isosceles right triangle be a whole number? Why or why not? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #370860 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=370860\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Yes. Suppose the lengths of the triangle are x, x, and x*sqrt(2). Then the perimeter is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE Perimeter = x+x+ x \sqrt{2} = x(2 + \sqrt{2})\">\r<BR>\n" );
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document.write( "We never said that x had to be a whole number. If we let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x = \frac{1}{2 + \sqrt{2}}\">, for example, then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE Perimeter = \frac{1}{2 + \sqrt{2}}(2 + \sqrt{2}) = 1\">, which is a whole number. </SPAN>\n" );
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